Skip to main content

2019 | OriginalPaper | Buchkapitel

38. A Novel Auxetic Structure with Enhanced Impact Performance by Means of Periodic Tessellation with Variable Poisson’s Ratio

verfasst von : M. Taylor, L. Francesconi, A. Baldi, X. Liang, F. Aymerich

Erschienen in: Dynamic Behavior of Materials, Volume 1

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This study proposes a new approach to designing impact resistant elastomeric structures using innovative bi-dimensional patterns composed of a combination of circular and elliptical voids with variable aspect ratios. Key to the design are discrete sections each with different effective Poisson’s ratios ranging from negative to positive. Cubic samples 80 × 80 × 80 cm in size with different void geometry and effective Poisson’s ratios were fabricated and successively tested under compressive and low-velocity impact loads as a proof-of-concept, showing good agreement with finite element simulations.
The numerical comparisons for different porosity levels demonstrated that the variable Poisson’s ratio materials resulted in better impact responses compared to those characterized by a positive (constant) value of the effective Poisson’s ratio. The promising results also show that the variable shape of the voids can lead to a modular trigger of overall effective auxetic behavior, opening up new ways design and use auxetic macro-structures with variable porosity and variable Poisson’s ratio for a wide range of applications and, in particular, for impact and protecting devices.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Landau, L.D., Lifshitz, E.M.: Theory of Elasticity, vol. 7. Pergamon Press, Oxford (1970)MATH Landau, L.D., Lifshitz, E.M.: Theory of Elasticity, vol. 7. Pergamon Press, Oxford (1970)MATH
2.
Zurück zum Zitat Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity. Dover, New York (1944)MATH Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity. Dover, New York (1944)MATH
3.
Zurück zum Zitat Ashby, M.F., Jones, D.R.H.: Engineering Materials 1: an Introduction to their Properties and Applications. Butterworth Heinemann, Oxford (1996) Ashby, M.F., Jones, D.R.H.: Engineering Materials 1: an Introduction to their Properties and Applications. Butterworth Heinemann, Oxford (1996)
3.
Zurück zum Zitat Lakes, R.: Advances in negative Poisson’s ratio materials. Adv. Mater. 5, 293–296 (1993)CrossRef Lakes, R.: Advances in negative Poisson’s ratio materials. Adv. Mater. 5, 293–296 (1993)CrossRef
4.
Zurück zum Zitat Greaves, G.N., Greer, A.L., Lakes, R.S., Rouxel, T.: Poisson’s ratio and modern materials. Nat. Mater. 10, 823–837 (2011)CrossRef Greaves, G.N., Greer, A.L., Lakes, R.S., Rouxel, T.: Poisson’s ratio and modern materials. Nat. Mater. 10, 823–837 (2011)CrossRef
5.
Zurück zum Zitat Prawoto, Y.: Seeing auxetic materials from the mechanics point of view: a structural review on the negative Poisson’s ratio. Comput. Mater. Sci. 58, 140–153 (2012)CrossRef Prawoto, Y.: Seeing auxetic materials from the mechanics point of view: a structural review on the negative Poisson’s ratio. Comput. Mater. Sci. 58, 140–153 (2012)CrossRef
6.
Zurück zum Zitat Stavroulakis, G.E.: Auxetic behaviour: appearance and engineering applications. Phys. Status Solidi B. 242(3), 710–720 (2005)CrossRef Stavroulakis, G.E.: Auxetic behaviour: appearance and engineering applications. Phys. Status Solidi B. 242(3), 710–720 (2005)CrossRef
7.
Zurück zum Zitat Evans, K.E., Alderson, A.: Auxetic materials: functional materials and structures from lateral thinking. Adv. Mater. 12(9), 617–628 (2000)CrossRef Evans, K.E., Alderson, A.: Auxetic materials: functional materials and structures from lateral thinking. Adv. Mater. 12(9), 617–628 (2000)CrossRef
8.
Zurück zum Zitat Javid, F., Liu, J., Rafsanjani, A., Schaenzer, M., Pham, M.Q., Backman, D., Yandt, S., Innes, M.C., Booth-Morrison, C., Gerendas, M., Scarinci, T., Shanian, A., Bertoldi, K.: On the design of porous structures with enhanced fatigue life. Extreme Mech. Lett. 16, 13–17 (2017)CrossRef Javid, F., Liu, J., Rafsanjani, A., Schaenzer, M., Pham, M.Q., Backman, D., Yandt, S., Innes, M.C., Booth-Morrison, C., Gerendas, M., Scarinci, T., Shanian, A., Bertoldi, K.: On the design of porous structures with enhanced fatigue life. Extreme Mech. Lett. 16, 13–17 (2017)CrossRef
9.
Zurück zum Zitat Wojciechowski, K.W., Branka, A.C.: Negative Poisson ratio in a two-dimensional “isotropic” solid. Phys. Rev. Lett. A. 40, 7222–7225 (1989)CrossRef Wojciechowski, K.W., Branka, A.C.: Negative Poisson ratio in a two-dimensional “isotropic” solid. Phys. Rev. Lett. A. 40, 7222–7225 (1989)CrossRef
10.
Zurück zum Zitat Lakes, R.S., Lowe, A.: Negative Poisson’s ratio foam as seat cushion material. Cell. Polym. 19, 157–167 (2000) Lakes, R.S., Lowe, A.: Negative Poisson’s ratio foam as seat cushion material. Cell. Polym. 19, 157–167 (2000)
11.
Zurück zum Zitat Lakes, R.: Foam structures with a negative Poisson’s ratio. Science. 235, 1038–1040 (1987)CrossRef Lakes, R.: Foam structures with a negative Poisson’s ratio. Science. 235, 1038–1040 (1987)CrossRef
12.
Zurück zum Zitat Scarpa, F., Giacomin, J., Zhang, Y., Pastorino, P.: Mechanical performance of auxetic polyurethane foam for antivibration glove applications. Cell. Polym. 24(5), 1–16 (2005) Scarpa, F., Giacomin, J., Zhang, Y., Pastorino, P.: Mechanical performance of auxetic polyurethane foam for antivibration glove applications. Cell. Polym. 24(5), 1–16 (2005)
13.
Zurück zum Zitat Bianchi, M., Scarpa, F.L., Smith, C.W.: Stiffness and energy dissipation in polyurethane auxetic foams. J. Mater. Sci. 43(17), 5851–5860 (2008)CrossRef Bianchi, M., Scarpa, F.L., Smith, C.W.: Stiffness and energy dissipation in polyurethane auxetic foams. J. Mater. Sci. 43(17), 5851–5860 (2008)CrossRef
14.
Zurück zum Zitat Chan, N., Evans, K.E.: Fabrication methods for auxetic foams. J Mater Sci. 32(22), 5945–5953 (1997)CrossRef Chan, N., Evans, K.E.: Fabrication methods for auxetic foams. J Mater Sci. 32(22), 5945–5953 (1997)CrossRef
15.
Zurück zum Zitat Chan, N., Evans, K.E.: Microscopic examination of the microstructure and deformation of conventional and auxetic foams. J. Mater. Sci. 32(21), 5725–5736 (1997)CrossRef Chan, N., Evans, K.E.: Microscopic examination of the microstructure and deformation of conventional and auxetic foams. J. Mater. Sci. 32(21), 5725–5736 (1997)CrossRef
16.
Zurück zum Zitat Bertoldi, K., Reis, P.M., Willshaw, S., Mullin, T.: Negative Poisson’s ratio behavior induced by an elastic instability. Adv. Mater. 22(3), 361–366 (2010)CrossRef Bertoldi, K., Reis, P.M., Willshaw, S., Mullin, T.: Negative Poisson’s ratio behavior induced by an elastic instability. Adv. Mater. 22(3), 361–366 (2010)CrossRef
17.
Zurück zum Zitat Kureta, R., Kanno, Y.: A mixed integer programming approach to designing periodic frame structures with negative Poisson’s ratio. Optim. Eng. 15(3), 773–800 (2014)MathSciNetCrossRef Kureta, R., Kanno, Y.: A mixed integer programming approach to designing periodic frame structures with negative Poisson’s ratio. Optim. Eng. 15(3), 773–800 (2014)MathSciNetCrossRef
18.
Zurück zum Zitat Wojciechowski, K.W.: Two-dimensional isotropic system with a negative Poisson ratio. Phys. Lett. A. 137(1–2), 60–64 (1989)CrossRef Wojciechowski, K.W.: Two-dimensional isotropic system with a negative Poisson ratio. Phys. Lett. A. 137(1–2), 60–64 (1989)CrossRef
19.
Zurück zum Zitat Shim, J., Perdigou, C., Chen, E.R., Bertoldi, K., Reis, P.M.: Buckling-induced encapsulation of structured elastic shells under pressure. Proc. Natl. Acad. Sci. U. S. A. 109, 5978–5983 (2012)CrossRef Shim, J., Perdigou, C., Chen, E.R., Bertoldi, K., Reis, P.M.: Buckling-induced encapsulation of structured elastic shells under pressure. Proc. Natl. Acad. Sci. U. S. A. 109, 5978–5983 (2012)CrossRef
20.
Zurück zum Zitat Taylor, M., Francesconi, L., Gerendás, M., Shanian, A., Carson, C., Bertoldi, K.: Low porosity metallic periodic structures with negative poisson's ratio. Adv. Mater. 26(15), 2365–2370 (2013)CrossRef Taylor, M., Francesconi, L., Gerendás, M., Shanian, A., Carson, C., Bertoldi, K.: Low porosity metallic periodic structures with negative poisson's ratio. Adv. Mater. 26(15), 2365–2370 (2013)CrossRef
21.
Zurück zum Zitat Milstein, F., Huang, K.: Existence of a negative Poisson ratio in fcc crystals. Phys. Rev. B. 19, 2030–2033 (1979)CrossRef Milstein, F., Huang, K.: Existence of a negative Poisson ratio in fcc crystals. Phys. Rev. B. 19, 2030–2033 (1979)CrossRef
22.
Zurück zum Zitat Ravirala, N., Alderson, A., Alderson, K.L., Davies, P.J.: Auxetic polypropylene films. Polym. Eng. Sci. 45(4), 517–528 (2005)CrossRef Ravirala, N., Alderson, A., Alderson, K.L., Davies, P.J.: Auxetic polypropylene films. Polym. Eng. Sci. 45(4), 517–528 (2005)CrossRef
23.
Zurück zum Zitat Grima, J.N., Jackson, R., Alderson, A., Evans, K.E.: Do zeolites have negative Poisson’s ratios? Adv. Mater. 12(24), 1912–1918 (2000)CrossRef Grima, J.N., Jackson, R., Alderson, A., Evans, K.E.: Do zeolites have negative Poisson’s ratios? Adv. Mater. 12(24), 1912–1918 (2000)CrossRef
24.
Zurück zum Zitat Herakovich, C.T.: Composite laminates with negative through-the-thickness Poisson’s ratios. J. Compos. Mater. 18(5), 447–455 (1984)CrossRef Herakovich, C.T.: Composite laminates with negative through-the-thickness Poisson’s ratios. J. Compos. Mater. 18(5), 447–455 (1984)CrossRef
25.
Zurück zum Zitat Doyoyo, M., Wan Hu, J.: Plastic failure analysis of an auxetic foam or inverted strut lattice under longitudinal and shear loads. J. Mech. Phys. Solids. 54(7), 1479–1492 (2006)CrossRef Doyoyo, M., Wan Hu, J.: Plastic failure analysis of an auxetic foam or inverted strut lattice under longitudinal and shear loads. J. Mech. Phys. Solids. 54(7), 1479–1492 (2006)CrossRef
26.
Zurück zum Zitat Ali, M.N., Rehman, I.U.: An Auxetic structure configured as oesophageal stent with potential to be used for palliative treatment of oesophageal cancer; development and in vitro mechanical analysis. J. Mater. Sci. Mater. Med. 22(11), 2573–2581 (2011)CrossRef Ali, M.N., Rehman, I.U.: An Auxetic structure configured as oesophageal stent with potential to be used for palliative treatment of oesophageal cancer; development and in vitro mechanical analysis. J. Mater. Sci. Mater. Med. 22(11), 2573–2581 (2011)CrossRef
27.
Zurück zum Zitat Caddock, B.D., Evans, K.E.: Negative Poisson ratios and strain-dependent mechanical properties in arterial prostheses. Biomaterials. 16, 1109–1115 (1995)CrossRef Caddock, B.D., Evans, K.E.: Negative Poisson ratios and strain-dependent mechanical properties in arterial prostheses. Biomaterials. 16, 1109–1115 (1995)CrossRef
28.
Zurück zum Zitat Dolla, W.J.S., Fricke, B.A., Becker, B.R.: Structural and drug diffusion models of conventional and Auxetic drug-eluting stents. J Med Devices. 1, 47–55 (2007)CrossRef Dolla, W.J.S., Fricke, B.A., Becker, B.R.: Structural and drug diffusion models of conventional and Auxetic drug-eluting stents. J Med Devices. 1, 47–55 (2007)CrossRef
29.
Zurück zum Zitat Alderson, A., Rasburn, J., Evans, K.E., Grima, J.N.: Auxetic polymeric filters display enhanced de-fouling and pressure- compensation properties. Membr. Technol. 137, 6–8 (2001)CrossRef Alderson, A., Rasburn, J., Evans, K.E., Grima, J.N.: Auxetic polymeric filters display enhanced de-fouling and pressure- compensation properties. Membr. Technol. 137, 6–8 (2001)CrossRef
30.
Zurück zum Zitat Alderson, A., Alderson, K.: Expanding materials and applications: exploiting auxetic textiles. Tech. Text. 14, 29–34 (2005) Alderson, A., Alderson, K.: Expanding materials and applications: exploiting auxetic textiles. Tech. Text. 14, 29–34 (2005)
31.
Zurück zum Zitat Ellul, B., Muscat, M., Grima, J.N.: On the effect of the Poisson’s ratio (positive and negative) on the stability of pressure vessel heads. Phys. Status Solidi B. 246(9), 2025–2032 (2009)CrossRef Ellul, B., Muscat, M., Grima, J.N.: On the effect of the Poisson’s ratio (positive and negative) on the stability of pressure vessel heads. Phys. Status Solidi B. 246(9), 2025–2032 (2009)CrossRef
32.
Zurück zum Zitat Francesconi, L., Taylor, M., Bertoldi, K.: Baldi, static and modal analysis of low porosity thin metallic Auxetic structures using speckle interferometry and digital image correlation. Exp. Mech. 58(2), 283–300 (2018)CrossRef Francesconi, L., Taylor, M., Bertoldi, K.: Baldi, static and modal analysis of low porosity thin metallic Auxetic structures using speckle interferometry and digital image correlation. Exp. Mech. 58(2), 283–300 (2018)CrossRef
33.
Zurück zum Zitat Grima, J.N., Evans, K.E.: Auxetic behavior from rotating squares. J. Mater. Sci. Lett. 19(17), 1563–1565 (2000)CrossRef Grima, J.N., Evans, K.E.: Auxetic behavior from rotating squares. J. Mater. Sci. Lett. 19(17), 1563–1565 (2000)CrossRef
34.
Zurück zum Zitat Grima, J., Gatt, R.: Perforated sheets exhibiting negative poisson’s ratios. Adv. Eng. Mater. 12, 460–464 (2010)CrossRef Grima, J., Gatt, R.: Perforated sheets exhibiting negative poisson’s ratios. Adv. Eng. Mater. 12, 460–464 (2010)CrossRef
35.
Zurück zum Zitat Sanami, M., Ravirala, N., Alderson, K., Alderson, A.: Auxetic materials for sports applications. Procedia Eng. 72, 453–458 (2014)CrossRef Sanami, M., Ravirala, N., Alderson, K., Alderson, A.: Auxetic materials for sports applications. Procedia Eng. 72, 453–458 (2014)CrossRef
36.
Zurück zum Zitat Wan, H., Ohtaki, H., Kotosaka, S., Hu, G.: A study of negative Poisson’s ratios in auxetic honeycombs based on a large deflection model, European journal of mechanics. Eur. J. Mech. A. Solids. 23(1), 95–106 (2004)CrossRef Wan, H., Ohtaki, H., Kotosaka, S., Hu, G.: A study of negative Poisson’s ratios in auxetic honeycombs based on a large deflection model, European journal of mechanics. Eur. J. Mech. A. Solids. 23(1), 95–106 (2004)CrossRef
37.
Zurück zum Zitat Scarpa, F., Panayiotou, P., Tomlinson, G.: Numerical and experimental uniaxial loading on in-plane auxetic honeycombs. J. Strain Anal. Eng. Des. 35(5), 383–388 (2000)CrossRef Scarpa, F., Panayiotou, P., Tomlinson, G.: Numerical and experimental uniaxial loading on in-plane auxetic honeycombs. J. Strain Anal. Eng. Des. 35(5), 383–388 (2000)CrossRef
Metadaten
Titel
A Novel Auxetic Structure with Enhanced Impact Performance by Means of Periodic Tessellation with Variable Poisson’s Ratio
verfasst von
M. Taylor
L. Francesconi
A. Baldi
X. Liang
F. Aymerich
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-95089-1_38

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.